((7*4y)*3.5y)+((3*4y)*6.5y)=4y

Solution for ((7*4y)*3.5y)+((3*4y)*6.5y)=4y equation:

((7*4y)*3.5y)+((3*4y)*6.5y)=4y

We move all terms to the left:

((7*4y)*3.5y)+((3*4y)*6.5y)-(4y)=0

We add all the numbers together, and all the variables

((+7*4y)*3.5y)+((+3*4y)*6.5y)-4y=0

We add all the numbers together, and all the variables

-4y+((+7*4y)*3.5y)+((+3*4y)*6.5y)=0


We calculate terms in parentheses: +((+7*4y)*3.5y), so:

(+7*4y)*3.5y

We multiply parentheses

84y^2

Back to the equation:

+(84y^2)



We calculate terms in parentheses: +((+3*4y)*6.5y), so:

(+3*4y)*6.5y

We multiply parentheses

72y^2

Back to the equation:

+(72y^2)


determiningTheFunctionDomain
84y^2+72y^2-4y=0

We add all the numbers together, and all the variables

156y^2-4y=0

a = 156; b = -4; c = 0;
Δ = b2-4ac
Δ = -42-4·156·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-4}{2*156}=\frac{0}{312}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+4}{2*156}=\frac{8}{312}
=1/39
$